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Submission #993102

# Submission time Handle Problem Language Result Execution time Memory
993102 2024-06-05T10:12:29 Z NValchanov Intergalactic ship (IZhO19_xorsum) C++17
37 / 100
 2000 ms 3532 KB 
#include <bits/stdc++.h>

#define endl '\n'

using namespace std;

typedef long long ll;

const ll MAXN = 1e3 + 10;
const ll MAXQ = 1e5 + 10;
const ll MOD = 1e9 + 7;
const ll MAXA = 128;
const ll MAXLOG = 8;

struct upd
{
    ll left, right;
    ll val;

    upd()
    {
        left = right = 1;
        val = 0;
    }

    upd(ll _left, ll _right, ll _val)
    {
        left = _left;
        right = _right;
        val = _val;
    }
};

ll n, q;
ll a[MAXN];
vector < upd > updates;
ll pow2;

void read()
{
    cin >> n;
    for(int i = 0; i < n; i++)
    {
        cin >> a[i];
    }
    cin >> q;
    for(int i = 0; i < q; i++)
    {
        ll left, right;
        ll x;

        cin >> left >> right >> x;

        upd u = upd(left - 1, right - 1, x);

        updates.push_back(u);
    }
}

void update(bitset < MAXA >&bs, ll val)
{
    if(bs[bs._Find_first() ^ val])
        return;

    vector < int > to_add;

    for(int i = bs._Find_first(); i < MAXA; i = bs._Find_next(i))
        to_add.push_back(i ^ val);

    for(int i : to_add)
        bs[i] = 1;
}

ll binpow(ll a, ll b)
{
    ll result = 1;

    while(b)
    {
        if(b & 1)
            result = (result * a) % MOD;
        
        a = (a * a) % MOD;
        b /= 2;
    }

    return result;
}

void solve()
{
    pow2 = 1;
    for(int i = 1; i <= q; i++)
    {
        pow2 = (pow2 * 2) % MOD;
    }

    ll ans = 0;

    for(int i = 0; i < n; i++)
    {
        for(int j = i; j < n; j++)
        {
            bitset < MAXA > bs1;
            bitset < MAXA > bs2;
            bitset < MAXA > bs3;

            bs1[a[i]] = bs2[a[j]] = bs3[0] = 1;

            for(int k = 0; k < q; k++)
            {
                bool in1 = false;
                bool in2 = false;

                if(updates[k].left <= i && i <= updates[k].right)
                    in1 = true;

                if(updates[k].left <= j && j <= updates[k].right)
                    in2 = true;

                if(in1 && in2)
                    update(bs3, updates[k].val);
                else if(in1)
                    update(bs1, updates[k].val);
                else if(in2)
                    update(bs2, updates[k].val);
            } 

            ll sum = 0;

            for(int idx1 = bs1._Find_first(); idx1 < MAXA; idx1 = bs1._Find_next(idx1))
            {
                for(int idx2 = bs2._Find_first(); idx2 < MAXA; idx2 = bs2._Find_next(idx2))
                {
                    for(int idx3 = bs3._Find_first(); idx3 < MAXA; idx3 = bs3._Find_next(idx3))
                    {
                        ll cur = ((idx1 ^ idx3) * (idx2 ^ idx3)) % MOD;

                        if(i != j)
                            cur = (cur * 2) % MOD;

                        sum = (sum + cur) % MOD;
                    }
                }
            }
            ll cnt = ((i + 1) * (n - j)) % MOD;
            sum = (sum * cnt) % MOD;
            sum = (sum * pow2) % MOD;

            sum = (sum * (binpow(bs1.count() * bs2.count() * bs3.count(), MOD - 2))) % MOD;

            ans = (ans + sum) % MOD;
        }
    }

    cout << ans << endl;
}

int main()
{
    ios_base :: sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);

    read();
    solve();

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 4 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct

Subtask #3
0 / 6.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2029 ms 3532 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 405 ms 348 KB Output is correct
2 Correct 346 ms 472 KB Output is correct
3 Correct 167 ms 344 KB Output is correct
4 Correct 126 ms 348 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 344 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 3 ms 348 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 344 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 119 ms 600 KB Output is correct
5 Correct 121 ms 620 KB Output is correct
6 Correct 118 ms 620 KB Output is correct
7 Correct 118 ms 604 KB Output is correct

Subtask #7
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 4 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 3 ms 344 KB Output is correct
10 Correct 2 ms 348 KB Output is correct
11 Correct 3 ms 348 KB Output is correct
12 Execution timed out 2058 ms 348 KB Time limit exceeded
13 Halted 0 ms 0 KB -

Subtask #8
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 4 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 3 ms 344 KB Output is correct
10 Correct 2 ms 348 KB Output is correct
11 Correct 3 ms 348 KB Output is correct
12 Correct 119 ms 600 KB Output is correct
13 Correct 121 ms 620 KB Output is correct
14 Correct 118 ms 620 KB Output is correct
15 Correct 118 ms 604 KB Output is correct
16 Execution timed out 2058 ms 348 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #9
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 4 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Execution timed out 2029 ms 3532 KB Time limit exceeded
10 Halted 0 ms 0 KB -